134686258900320 has 384 divisors, whose sum is σ = 426774749184000. Its totient is φ = 35704483430400.

The previous prime is 134686258900313. The next prime is 134686258900337. The reversal of 134686258900320 is 23009852686431.

It is a super-2 number, since 2×134686258900320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117016731745 + ... + 117016732895.

It is an arithmetic number, because the mean of its divisors is an integer number (1111392576000).

Almost surely, 2^{134686258900320} is an apocalyptic number.

134686258900320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134686258900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213387374592000).

134686258900320 is an abundant number, since it is smaller than the sum of its proper divisors (292088490283680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134686258900320 is a wasteful number, since it uses less digits than its factorization.

134686258900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 134686258900320 in words is "one hundred thirty-four trillion, six hundred eighty-six billion, two hundred fifty-eight million, nine hundred thousand, three hundred twenty".